RRB JE Practice Questions | Mathematics – Day-05

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RRB JE Exam Mathematics Day – 05

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1. Salaries of a b and c where in the ratio of 3 : 8 : 5 respectively. After 5 years their salaries increased by 20% 15% and 20% respectively. Find the new ratio of their respective salaries.

5 : 8 : 2

3 : 5 : 8

3 : 10 : 5

9 : 23 : 15

Explanation:

Answer: d)

The given ratio is 3: 8 : 5

Increased Ratio = 3x (120/100) : 8x (115/100) : 5x (120/100)

3 × 120 : 8 × 115 : 5× 120

3 × 24 : 8 × 23 : 5 × 24

3 × 3 : 23 : 5 ×3

New ratio = 9 : 23 : 15

Explanation:

Answer: d)

The given ratio is 3: 8 : 5

Increased Ratio = 3x (120/100) : 8x (115/100) : 5x (120/100)

3 × 120 : 8 × 115 : 5× 120

3 × 24 : 8 × 23 : 5 × 24

3 × 3 : 23 : 5 ×3

New ratio = 9 : 23 : 15

Question 2 of 10

2. A,B and C started a business by investing an amount in the ratio of 6:8:4 respectively. After 6 months C withdrew half of his capital. After 8 months the investment A withdraw 1/3 rd of his capital amount. Find the share of B, if the annual profit earned was 98000.

24000

62000

48000

24000

Explanation:

Answer: c)

The ratio was 6:8:4

Then, 6×8 + 4×4 : 8×12 : 4×6 + 2×6

48 + 16 : 96 : 24 + 12

64 : 96 : 36

16 : 24 : 9

98000 (100/49)= 20000

X = 20000

24x = 48000

B’s Share = 48000

Explanation:

Answer: c)

The ratio was 6:8:4

Then, 6×8 + 4×4 : 8×12 : 4×6 + 2×6

48 + 16 : 96 : 24 + 12

64 : 96 : 36

16 : 24 : 9

98000 (100/49)= 20000

X = 20000

24x = 48000

B’s Share = 48000

Question 3 of 10

3. A certain amount is shared between A, B and C in the ratio of such that A : B and B : C are both in the ratio of 5:2. If the sum of the amount received by A and B together is Rs. 2800 then what is the total amount?

Rs.8000

Rs.5000

Rs.8700

Rs.7800

Explanation:

Answer: d)

A : B = B : C = 5 : 2

A : B : C = 25 : 10 : 4

B + C = Rs.2800

14x = 2800

x = 200

Total amt =39×200 = 7800

Explanation:

Answer: d)

A : B = B : C = 5 : 2

A : B : C = 25 : 10 : 4

B + C = Rs.2800

14x = 2800

x = 200

Total amt =39×200 = 7800

Question 4 of 10

4. A sum of three numbers is 70. The ratio of 1st and 2nd number is 5:3 and the ratio of 2nd and 3rd is 1:2. Then find the value of the 2nd number.

25

15

30

45

Explanation:

Answer: b)

A : B = 5 : 3; B : C = 1 : 2

A : B : C = 5 : 3 : 6

14x=70 => x=5

B = 5 x 3 = 15

Explanation:

Answer: b)

A : B = 5 : 3; B : C = 1 : 2

A : B : C = 5 : 3 : 6

14x=70 => x=5

B = 5 x 3 = 15

Question 5 of 10

5. In a business P invests 1/3 of the capital for 1/4 of the time, Q invests 1/6 of the capital for1/6 of the time and R invests the rest of the capital for the whole time. If the total profit earned was Rs.44000. Find the share of P.

Rs.6000

Rs.8000

Rs.1000

None of the above

Explanation:

Answer: a)

P : Q : R = 1/3 × 1/4 : 1/6 × 1/6 : ½ × 1

=1/12 : 1/36 : 1/2

P’s share = 1/12 × 36/22 ×44000 =Rs.6000

Explanation:

Answer: a)

P : Q : R = 1/3 × 1/4 : 1/6 × 1/6 : ½ × 1

=1/12 : 1/36 : 1/2

P’s share = 1/12 × 36/22 ×44000 =Rs.6000

Question 6 of 10

6. A lady buys two types of coffee for Rs.25 per kg and Rs.35 per kg. She blends both in the ratio of 6:5 and sells it at a price of Rs.32/kg. Find the approximate profit percentage?

17%

6%

8%

12%

Explanation:

Answer: c)

a:b= 6:5

SP of the mixture = 32 × 11x = Rs.352x

CP of coffee= (25×6x ) + (35×5x) = 150x+175x = 325x

Profit% = 27/325 × 100 = 8.30%

Explanation:

Answer: c)

a:b= 6:5

SP of the mixture = 32 × 11x = Rs.352x

CP of coffee= (25×6x ) + (35×5x) = 150x+175x = 325x

Profit% = 27/325 × 100 = 8.30%

Question 7 of 10

7. Five liters of a solution containing 60% of alcohol and water is added to another 5 litres of solution containing 30% of alcohol and water. Find the alcohol strength of the mixture.

55%

33%

45%

65%

Explanation:

Answer: c)

% of alcohol strength = ((5×60)+(5×30))/(5+5) = 45%

Explanation:

Answer: c)

% of alcohol strength = ((5×60)+(5×30))/(5+5) = 45%

Question 8 of 10

8. A and B rent a large parking slot for 1 year. A parks in 90 trucks for 8 months. How many can B park if he pays half as much again as A?

350

120

300

None of these

Explanation:

Answer: d)

Amt paid by B= 3/2(amt paind by A)

(90×8)/(4x)=(Amt paid by A)÷(3/2(Amt paid by A)) = 270 trucks.

Explanation:

Answer: d)

Amt paid by B= 3/2(amt paind by A)

(90×8)/(4x)=(Amt paid by A)÷(3/2(Amt paid by A)) = 270 trucks.

Question 9 of 10

9. Two boxes which weighed 3kg and 4kg are filled with 20%sand 80% iron and 80% sand and 20% iron respectively. It was then emptied to another box with additional 3kg of sand. Find the % of iron in the mixture.

36kg

28kg

54kg

64kg

Explanation:

Answer: a)

20% of (3) + 80% of (4) = 3.6 kg

% of sand = (3.6/10) x 100 = 36kg

Explanation:

Answer: a)

20% of (3) + 80% of (4) = 3.6 kg

% of sand = (3.6/10) x 100 = 36kg

Question 10 of 10

10. A woman lends an amount of Rs.1000 in two parts, one at 8% and other at a rate of 10%. The annual average she gets is 9.2%. Find the amount she lent in two parts?

1) Salaries of a b and c where in the ratio of 3 : 8 : 5 respectively. After 5 years their salaries increased by 20% 15% and 20% respectively. Find the new ratio of their respective salaries.

a) 5 : 8 : 2

b) 3 : 5 : 8

c) 3 : 10 : 5

d) 9 : 23 : 15

2) A,B and C started a business by investing an amount in the ratio of 6:8:4 respectively. After 6 months C withdrew half of his capital. After 8 months the investment A withdraw 1/3 rd of his capital amount. Find the share of B, if the annual profit earned was 98000.

a) 24000

b) 62000

c) 48000

d) 24000

3) A certain amount is shared between A, B and C in the ratio of such that A : B and B : C are both in the ratio of 5:2. If the sum of the amount received by A and B together is Rs. 2800 then what is the total amount?

a) Rs.8000

b) Rs.5000

c) Rs.8700

d) Rs.7800

4) A sum of three numbers is 70. The ratio of 1st and 2nd number is 5:3 and the ratio of 2nd and 3rd is 1:2. Then find the value of the 2nd number.

a) 25

b) 15

c) 30

d) 45

5) In a business P invests 1/3 of the capital for 1/4 of the time, Q invests 1/6 of the capital for1/6 of the time and R invests the rest of the capital for the whole time. If the total profit earned was Rs.44000. Find the share of P.

a) Rs.6000

b) Rs.8000

c) Rs.1000

d) None of the above

6) A lady buys two types of coffee for Rs.25 per kg and Rs.35 per kg. She blends both in the ratio of 6:5 and sells it at a price of Rs.32/kg. Find the approximate profit percentage?

a) 17%

b) 6%

c) 8%

d) 12%

7) Five liters of a solution containing 60% of alcohol and water is added to another 5 litres of solution containing 30% of alcohol and water. Find the alcohol strength of the mixture.

a) 55%

b) 33%

c) 45%

d) 65%

8) A and B rent a large parking slot for 1 year. A parks in 90 trucks for 8 months. How many can B park if he pays half as much again as A?

a) 350

b) 120

c) 300

d) None of these

9) Two boxes which weighed 3kg and 4kg are filled with 20%sand 80% iron and 80% sand and 20% iron respectively. It was then emptied to another box with additional 3kg of sand. Find the % of iron in the mixture.

a) 36kg

b) 28kg

c) 54kg

d) 64kg

10) A woman lends an amount of Rs.1000 in two parts, one at 8% and other at a rate of 10%. The annual average she gets is 9.2%. Find the amount she lent in two parts?